Evgenii Reznichenko

activity

20222026

most citedExtension of mappings from the product of pseudocompact spaces

7 citations · 7 across the 6 of their papers we have counts for

collaborators

8 papers

math.GN2026

Lindelöf-type properties of spaces of Baire-one functions

Alexander V. Osipov, Evgenii Reznichenko

In this paper, we investigate Lindelöf-type properties of spaces of Baire-one functions equipped with the topology of pointwise convergence. In particular, we investigate the prope…

math.GN2026

On $κ$ -Frechet-Urysohn topological groups

Saak Gabriyelyan, Alexander V. Osipov, Evgenii Reznichenko

We characterize $κ$ -Fréchet--Urysohn topological groups. Using this characterization we show that: (1) a hemicompact topological group is $κ$ -Fréchet--Urysohn iff it is locally com…

math.FA2026

Baire-type properties of topological vector spaces

Saak Gabriyelyan, Alexander V. Osipov, Evgenii Reznichenko

Burzyk, Kliś and Lipecki proved that every topological vector space (tvs) $E$ with the property $(K)$ is a Baire space. Kcakol and Sánchez Ruiz proved that every sequentially compl…

math.GN2026

Completeness and reflexivity type properties of $B_{1} (X)$

Saak Gabriyelyan, Alexander V. Osipov, Evgenii Reznichenko

For a Tychonoff space $X$ , $B_{1} (X)$ denotes the space of all Baire-one functions on $X$ endowed with the pointwise topology. We prove that the following assertions are equivalent:…

math.GN2025

New classes of compact-type spaces

Saak Gabriyelyan, Evgenii Reznichenko

Being motivated by the notions of $κ$ -Fréchet--Urysohn spaces and $k^{'}$ -spaces introduced by Arhangel'skii, the notion of sequential spaces and the study of Ascoli spaces, we introd…

math.GN2025

$κ$ -spaces

Saak Gabriyelyan, Evgenii Reznichenko

We say that a Tychonoff space $X$ is a $κ$ -space if it is homeomorphic to a closed subspace of $C_{p} (Y)$ for some locally compact space $Y$ . The class of $κ$ -spaces is strictly betw…

math.GN2025

Functions on products $X \times Y$ with applications to Ascoli spaces, $k_{R}$ -spaces and $s_{R}$ -spaces

Saak Gabriyelyan, Evgenii Reznichenko

We prove that a Tychonoff space $X$ is (sequentially) Ascoli iff for every compact space $K$ (resp., for a convergent sequence $s$ ), each separately continuous $k$ -continu…

math.GN2022★ 7 cited

Extension of mappings from the product of pseudocompact spaces

Evgenii Reznichenko

Let $X$ and $Y$ be pseudocompact spaces and let the function $Φ : X \times Y \to R$ be separately continuous. The following conditions are equivalent: (1) there is a dense $G_…

Lindelöf-type properties of spaces of Baire-one functions

On κ-Frechet-Urysohn topological groups

Baire-type properties of topological vector spaces

Completeness and reflexivity type properties of B1​(X)

New classes of compact-type spaces

κ-spaces

Functions on products X×Y with applications to Ascoli spaces, kR​-spaces and sR​-spaces

Extension of mappings from the product of pseudocompact spaces

On $κ$ -Frechet-Urysohn topological groups

Completeness and reflexivity type properties of $B_{1} (X)$

$κ$ -spaces

Functions on products $X \times Y$ with applications to Ascoli spaces, $k_{R}$ -spaces and $s_{R}$ -spaces